Mixed H∞ and passive filtering for singular systems with time delays

Authors:
Zheng-Guang Wu;Ju H. Park;Hongye Su;Bo Song;Jian Chu
Affiliations:
Department of Electrical Engineering, Yeungnam University, 214-1 Dae-Dong, Kyongsan 712-749, Republic of Korea and National Laboratory of Industrial Control Technology, Institute of Cyber-Systems ...;Department of Electrical Engineering, Yeungnam University, 214-1 Dae-Dong, Kyongsan 712-749, Republic of Korea;National Laboratory of Industrial Control Technology, Institute of Cyber-Systems and Control, Zhejiang University, Yuquan Campus, Hangzhou, Zhejiang 310027, PR China;Department of Electrical Engineering, Yeungnam University, 214-1 Dae-Dong, Kyongsan 712-749, Republic of Korea and Electrical Engineering and Automation, Jiangsu Normal University, Xuzhou, Jiangsu ...;National Laboratory of Industrial Control Technology, Institute of Cyber-Systems and Control, Zhejiang University, Yuquan Campus, Hangzhou, Zhejiang 310027, PR China
Venue:
Signal Processing
Year:
2013

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Abstract

In this paper, the problem of mixed H"~ and passive filtering is studied for singular systems with time delays. A sufficient condition is first proposed for the considered systems to be admissible with mixed H"~ and passivity performance level in terms of strict linear matrix inequality (LMI). Then the criterion is adopted to design a mixed H"~ and passive filter of the Luenberger observer type, and a design method is proposed in terms of the solution of a LMI. Finally, the effectiveness of the filter design method is illustrated by a numerical example.